Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy. Which is the first error that Tomas made? Tomas substituted the 3 for x when he should have substituted 6 for x. Tomas added 6 to both sides of the equation instead of subtracting 6. Tomas should have written the equation as . Tomas substituted 3 for x when he should have substituted 3 for y.

Correct question is;

Tomas is making trail mix using granola and walnuts. he can spend a total of $12 on the ingredients. he buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation 2x + 6y = 12 to represent the total cost,

Where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.

2x + 6y = 12

2(3) + 6y = 12

6 + 6y + 6 = 12 + 6

6y = 18

y = 3

which is the first error that tomas made?

A) tomas substituted the 3 for x when he should have substituted 6 for x.

B) tomas added 6 to both sides of the equation instead of subtracting 6.

C) tomas should have written the equation as 3x + 6y = 12.

D) tomas substituted 3 for x when he should have substituted 3 for y.

Option B: tomas added 6 to both sides of the equation instead of subtracting 6.

Step-by-step explanation:

We are told that; x represents the number of pounds of granola while y represents the number of pounds of walnuts.

Now, we are told that He can spend a total of $12 on the ingredients. Also that he buys 3 pounds of granola that costs $2.00 per pound while the walnuts cost $6 per pound.

Thus;

2x + 6y = 12

He buys 3 pounds of granola. Thus;

2(3) + 6y = 12

6 + 6y = 12

The next step here is to subtract 6 from both sides but Tomas added 6 to both sides instead.

Thus, option B is the correct answer.

y=mx+

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).